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Finding the Fourth Proportional to 9,833.20, 13,578.82 and 6,249.32

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Solution

The fourth proportional to 9,833.20, 13,578.82 and 6,249.32 is: 8,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.20 : 13,578.82 = 6,249.32 : x
  2. Step 2: Convert to fraction form
    9,833.20/13,578.82 = 6,249.32/x
  3. Step 3: Cross multiply
    9,833.20x = 13,578.82 × 6,249.32
  4. Step 4: Simplify right side
    9,833.20x = 84,858,391.40
  5. Step 5: Solve for x
    x = 84,858,391.40/9,833.20
  6. Step 6: Final answer
    x = 8,629.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.